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Constructions and applications of lifetime distributions

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  • C.D. Lai

Abstract

Lifetime (ageing) distributions play a fundamental role in reliability. We present a semi‐unified approach in constructing them, and show that most of the existing distributions may arise from one of these methods. Generalizations/modifications of the Weibull distribution are often required to prescribe the nonmonotonic nature of the empirical hazard rates. We also briefly outline some of the known applications of lifetime distributions in diverse disciplines. Copyright © 2012 John Wiley & Sons, Ltd.

Suggested Citation

  • C.D. Lai, 2013. "Constructions and applications of lifetime distributions," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 29(2), pages 127-140, March.
    • Handle: RePEc:wly:apsmbi:v:29:y:2013:i:2:p:127-140
    DOI: 10.1002/asmb.948
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    Cited by:

    1. Yuri A. Iriarte & Mário de Castro & Héctor W. Gómez, 2020. "The Lambert- F Distributions Class: An Alternative Family for Positive Data Analysis," Mathematics, MDPI, vol. 8(9), pages 1-17, August.
    2. Jonas Šiaulys & Rokas Puišys, 2022. "Survival with Random Effect," Mathematics, MDPI, vol. 10(7), pages 1-17, March.
    3. Szymkowiak, Magdalena, 2018. "Generalized aging intensity functions," Reliability Engineering and System Safety, Elsevier, vol. 178(C), pages 198-208.
    4. Francisco Louzada & Daniele C. T. Granzotto, 2016. "The transmuted log-logistic regression model: a new model for time up to first calving of cows," Statistical Papers, Springer, vol. 57(3), pages 623-640, September.

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